Question

If m=(3x-4)/5 ; n=(x-7)/3 and 3(m+n)=13 then find the value of x

Answer 1

Step-by-step explanation:

Your answer is in above picture.

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Answer 2

Answer:

It two linear equations has infinitely many solutions means

a

1

/a

2

=b

1

/b

2

=c

1

/c

2

here two linear equations are

3x+4y=12 and

(m+n)x+2(m−n)y=5(m)−1

i.e,

m+n

3

=

2(m−n)

4

=

5m−1

12

6(m−n)=4(m+n).

m+n

3

=

5m−1

12

6m−6n=4m+4n 3(5m−1)=12m+12n

2m−10n=0⋯(1) 3m−12n=3⋯(2)

similarly (1)×3 & (2)×2

6m−30n=0

6m−24n=6

____________

6n=6 ⇒n=1

now from (1)2m−10=0

m=5